Structure-Preserving Discretizations and Robust Preconditioners for Multi-Physical Systems

Wednesday, October 22, 2014 - 3:40pm - 4:25pm
Keller 3-180
Jinchao Xu (The Pennsylvania State University)
In this talk, I will report some recent results on the qualitative and numerical analysis of structure-preserving discretizations and robust preconditioners for several mathematical models that couple with the Navier-Stokes equations. I will study the Navier-Stokes equations coupled with elasticity equations, the Maxwell's equations, and the Poisson-Nernst-Planck system. These systems model fluid-structure interaction, magnetohydrodynamics, and electrokinetic phenomena, respectively, and are widely used in engineering applications and other scientific disciplines. I will also give some numerical examples to validate our analyses and models.
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